Quantum Game with Restricted Matrix Strategies  

作　　者：CHENBo MAYing-Jun LONGGui-Lu 

机构地区：[1]DepartmentofPhysics,TsinghuaUniversity,Beijing100084,China [2]KeyLaboratoryforQuantumInformationandMeasurements,Beijing100084,China [3]CenterforAtomicandMolecularNanosciences,TsinghuaUniversity,Beijing100084,China

出　　处：《Communications in Theoretical Physics》2003年第6X期655-658,共4页理论物理通讯（英文版）

基　　金：国家自然科学基金，教育部霍英东教育基金，国家重点基础研究发展计划(973计划)，中国航空科学基金

摘　　要：We study a quantum game played by two players with restricted multiple strategies. It is found that in this restricted quantum game Nash equilibrium does not always exist when the initial state is entangled. At the same time,we find that when Nash equilibrium exists the payoff function is usually different from that in the classical counterpart except in some special cases. This presents an explicit example showing quantum game and classical game may differ.When designing a quantum game with limited strategies, the allowed strategy should be carefully chosen according to the type of initial state.

关 键 词：量子博弈论 矩阵法 纠缠 初态 纳什平衡 量子论 

分 类 号：O413[理学—理论物理]